Alright, let's solve this problem step by step. We have 296976 and 39604, and we're subtracting the second number from the first.

Step 1: We'll start by subtracting the digit 4 and the borrow 0 from 6 in column 1 and get 2.
2 is the first digit of our result.

Step 2: We'll start by subtracting the digit 0 and the borrow 0 from 7 in column 2 and get 7.
7 is the next digit of our result.

Step 3: We'll start by subtracting the digit 6 and the borrow 0 from 9 in column 3 and get 3.
3 is the next digit of our result.

Step 4: We'll start by subtracting the digit 9 and the borrow 0 from 6 in column 4 and get -3.
We add -3 to 10 and get 7 as the next digit of the result.

Step 5: We'll start by subtracting the digit 3 and the borrow 1 from 9 in column 5 and get 5.
5 is the next digit of our result.

Step 6: We'll start by subtracting the digit 0 and the borrow 0 from 2 in column 6 and get 2.
2 is the next digit of our result.

So, 296976 - 39604 = 257372.